505103304414213 has 40 divisors (see below), whose sum is σ = 799508580128280. Its totient is φ = 316694698629120.

The previous prime is 505103304414151. The next prime is 505103304414263. The reversal of 505103304414213 is 312414403301505.

505103304414213 is a `hidden beast` number, since 50 + 5 + 10 + 330 + 44 + 14 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 171530162244 + 504931774251969 = 414162^2 + 22470687^2 .

It is not a de Polignac number, because 505103304414213 - 2¹³ = 505103304406021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505103304414263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132885018 + ... + 136633211.

It is an arithmetic number, because the mean of its divisors is an integer number (19987714503207).

Almost surely, 2^{505103304414213} is an apocalyptic number.

It is an amenable number.

505103304414213 is a deficient number, since it is larger than the sum of its proper divisors (294405275714067).

505103304414213 is a wasteful number, since it uses less digits than its factorization.

505103304414213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269519619 (or 269519610 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 505103304414213 its reverse (312414403301505), we get a palindrome (817517707715718).

The spelling of 505103304414213 in words is "five hundred five trillion, one hundred three billion, three hundred four million, four hundred fourteen thousand, two hundred thirteen".